Question 850038
Replace f(x) with y. Then swap x and y. Afterwards, solve for y to find {{{f^(-1)(x)}}}



{{{f(x) = -sqrt(x+5)+3}}}



{{{y = -sqrt(x+5)+3}}}



{{{x = -sqrt(y+5)+3}}}



{{{x-3 = -sqrt(y+5)}}}



{{{-1*(x-3) = -1*(-sqrt(y+5))}}}



{{{-x+3 = sqrt(y+5)}}}



{{{3-x = sqrt(y+5)}}}



{{{(3-x)^2 = y+5}}}



{{{(3-x)^2-5 = y}}}



{{{y = (3-x)^2-5}}}



{{{f^(-1)(x) = (3-x)^2-5}}}